Covariant functors commuting with direct limits
Category Theory
2023-11-16 v5 Representation Theory
Abstract
In this work we state conditions on a covariant right exact functor so that it commutes with direct limits. These conditions are related to the commutativity of the functor under direct limits of projective modules. We prove that if the functor commutes with direct limits of projective modules, then the functor commutes with direct limits.
Keywords
Cite
@article{arxiv.2006.03938,
title = {Covariant functors commuting with direct limits},
author = {R. García-Delgado},
journal= {arXiv preprint arXiv:2006.03938},
year = {2023}
}